On the Connection Between Macdonald Polynomials and Demazure Characters |
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| Authors: | Yasmine B Sanderson |
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| Institution: | (1) Department of Mathematics, Rutgers University, New Brunswick, N.J., 08901 |
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| Abstract: | We show that the specialization of nonsymmetric Macdonald polynomials at t = 0 are, up to multiplication by a simple factor, characters of Demazure modules for
. This connection furnishes Lie-theoretic proofs of the nonnegativity and monotonicity of Kostka polynomials. |
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| Keywords: | affine Lie algebras Macdonald polynomials Demazure character |
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